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Variational principles in physics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Variational principles in physicsby Jean-Louis Basdevant.
Author:	Basdevant, J.-L.
Published:	Cham :Springer International Publishing :2023.
Description:	xiii, 242 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Variational principles.
Online resource:	https://doi.org/10.1007/978-3-031-21692-3
ISBN:	9783031216923$q(electronic bk.)

Variational principles in physics
Basdevant, J.-L.

Variational principles in physics[electronic resource] /by Jean-Louis Basdevant. - Second edition. - Cham :Springer International Publishing :2023. - xiii, 242 p. :ill., digital ;24 cm.

Chapter 1. Structure of physical theories -- Chapter 2. Variational Principles -- Chapter 3. The Analytical Mechanics of Lagrange -- Chapter 4. Hamilton's canonical formalism -- Chapter 5. Action, Optics, Hamilton-Jacobi equation -- Chapter 6. Lagrangian Field Theory -- Chapter 7. Motion in a Curved Space -- Chapter 8. Gravitational waves -- Chapter 9. Feynman's Path Integrals in quantum Mechanics.

This revised and enhanced new edition of a well-established textbook provides a balanced overview of various areas of theoretical physics based on the use of variational principles. As well as field theory, the book deals with motion in curved spaces, the cradle of general relativity, and gravitational optics. New chapters on the relation of classical mechanics and geometrical optics as well as gravitational waves, which are considered as a true confirmation of general relativity, have been included. Each chapter has been carefully revised and enlarged. Finally, the text describes Feynman's formulation of quantum mechanics by path integrals, which gives the link between quantum and classical mechanics. The book provides a set of exercises, problems, and solutions.

ISBN: 9783031216923$q(electronic bk.)

Standard No.: 10.1007/978-3-031-21692-3doiSubjects--Topical Terms:

338124
Variational principles.

LC Class. No.: QC174.17.V35 / B37 2023

Dewey Class. No.: 531.01515

Variational principles in physics
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245 1 0 $a Variational principles in physics $h [electronic resource] / $c by Jean-Louis Basdevant.
250 $a Second edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xiii, 242 p. : $b ill., digital ; $c 24 cm.
505 0 $a Chapter 1. Structure of physical theories -- Chapter 2. Variational Principles -- Chapter 3. The Analytical Mechanics of Lagrange -- Chapter 4. Hamilton's canonical formalism -- Chapter 5. Action, Optics, Hamilton-Jacobi equation -- Chapter 6. Lagrangian Field Theory -- Chapter 7. Motion in a Curved Space -- Chapter 8. Gravitational waves -- Chapter 9. Feynman's Path Integrals in quantum Mechanics.
520 $a This revised and enhanced new edition of a well-established textbook provides a balanced overview of various areas of theoretical physics based on the use of variational principles. As well as field theory, the book deals with motion in curved spaces, the cradle of general relativity, and gravitational optics. New chapters on the relation of classical mechanics and geometrical optics as well as gravitational waves, which are considered as a true confirmation of general relativity, have been included. Each chapter has been carefully revised and enlarged. Finally, the text describes Feynman's formulation of quantum mechanics by path integrals, which gives the link between quantum and classical mechanics. The book provides a set of exercises, problems, and solutions.
650 0 $a Variational principles. $3 338124
650 0 $a Mechanics, Analytic. $3 190293
650 0 $a Field theory (Physics) $3 208085
650 0 $a Lagrange equations. $3 226585
650 0 $a Hamilton-Jacobi equations. $3 275723
650 1 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Classical Mechanics. $3 769955
650 2 4 $a Calculus of Variations and Optimization. $3 913393
650 2 4 $a Optimization. $3 274084
650 2 4 $a Engineering Mechanics. $3 913404
650 2 4 $a Philosophical Foundations of Physics and Astronomy. $3 913461
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